Finding the Fourth Proportional to 146.18, 217.89 and 138.34

Step by Step Solution

1. Step 1: Write the proportion equation
   146.18 : 217.89 = 138.34 : x
2. Step 2: Convert to fraction form
   146.18/217.89 = 138.34/x
3. Step 3: Cross multiply
   146.18x = 217.89 × 138.34
4. Step 4: Simplify right side
   146.18x = 30,142.90
5. Step 5: Solve for x
   x = 30,142.90/146.18
6. Step 6: Final answer
   x = 206.20